Abstract
In nowadays, an important area in medicine is the early preclinical identification of the parameters deviations from the norm, where mathematical modeling can help, which should be used to calculate individual linear parameters of internal structures based on external parameters of the body. The aim of the study was to calculate the individual total linear measures of the lumbar intervertebral discs in juniors and men of the first adulthood (17-28 years) in norm. The total size of the each intervertebral discs were calculated a sum of the anterior-posterior diameter, frontal diameter and vertical sizes of each lumbar intervertebral discs, which were measured by MRI. The next step was to calculate the relative proportional nonlinear somato-disc rates (based on body weight and body length) for each individual examined. Mathematical processing of the measured parameters and the relative values of the somato-disc relationships was carried out by the statistical data processing program “STATISTICA 6.1” using parametric methods. The correct distribution of the variational series indicators, mean values and their standard errors were evaluated. Based on relative values the mathematical model was created to obtain individual values of the TS of the lumbar intervertebral discs. Subsequently, we compared the measured total discs sizes of the anterior-posterior, frontal diameters and vertical sizes of the lumbar intervertebral discs with a mathematically calculated value for each lumbar intervertebral discs. The significant difference between the mathematically calculated and measured values of the total intervertebral discs’ sizes of the didn’t exceed 10%. Determination of the standard linear dimensions of the intervertebral discs of the lumbar spine using CT and MRI and comparison with theoretically calculated indices will make it possible to diagnose early manifestations of the lumbar intervertebral discs pathology.
Highlights
More than 200 million people are suffering from osteoporosis and musculoskeletal system diseases, according to WHO, occupy 4th place as a cause of disability and mortality in the world [13]
Individual comprehensive anthropometric investigation was performed for each research teams' persons and measured general and particular sizes; lumbar spine MRI with the measuring of anterior-posterior diameter, frontal diameter and vertical size of the lumbar intervertebral discs (IVD) was performed
The TS of lumbar IVDs, which calculated as a sums of the anterior-posterior diameters, frontal diameters and vertical sizes of the lumbar IVDs and math modeling obtained dates were compared
Summary
More than 200 million people are suffering from osteoporosis and musculoskeletal system diseases, according to WHO, occupy 4th place as a cause of disability and mortality in the world [13]. According to recent statistics from the International Osteoporosis Foundation, worldwide, 1 in 3 women over the age of 50 years and 1 in 5 men will experience osteoporotic fractures in their lifetime [25]. The experts predict an epidemic of osteoporosis, indicating the aging of the world population [5, 9]. In Ukraine chronic musculoskeletal system is one of the most frequent problems [1, 15], and about 3.5 million people really familiar with the problems of the musculoskeletal system, it's terrible complications [11, 12], which require continuous long-term therapy [17, 18]. Degenerative disc diseases are an insidious illnesses that carefully hiding the other diseases symptoms, which significantly complicates their diagnosis, especially in the early stages
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